113751216 has 120 divisors (see below), whose sum is σ = 349758864. Its totient is φ = 35665920.

The previous prime is 113751203. The next prime is 113751217. The reversal of 113751216 is 612157311.

113751216 is a `hidden beast` number, since 1 + 137 + 512 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 113751216.

It is not an unprimeable number, because it can be changed into a prime (113751217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65236 + ... + 66956.

Almost surely, 2^113751216 is an apocalyptic number.

113751216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113751216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174879432).

113751216 is an abundant number, since it is smaller than the sum of its proper divisors (236007648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113751216 is a wasteful number, since it uses less digits than its factorization.

113751216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1743 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 113751216 is about 10665.4215106577. The cubic root of 113751216 is about 484.5277807111.

The spelling of 113751216 in words is "one hundred thirteen million, seven hundred fifty-one thousand, two hundred sixteen".